Converting 37.7248 to a Fraction
Step-by-step explanation of how to convert 37.7248 to a fraction
Result
37.7248 =
23578
625
Mixed number:
37
453
625
Step 1: Identify the number of decimal places
The decimal 37.7248 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.7248 × 10000 = 377248
Step 3: Write as a fraction
37.7248 =
377248
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 377248 and 10000.
GCD(377248, 10000) = 16
Divide both the numerator and denominator by the GCD:
377248
10000
=
377248 ÷ 16
10000 ÷ 16
=
23578
625
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